Adam took five tests and received a grade for each of them. The first test was 92%, the second test was 83%, and the mean of the five tests was 85%. What can you conclude?
a. the lowest test score.
b. the highest test score.
c. the mean of the last three tests.
d. the mean of the first three tests.
D. The mean of the first three tests.
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To answer these questions, we can use the given information about Adam's test scores.
To find the lowest test score, we need to look at the individual scores for each test. From the information given, we have the scores for the first two tests: 92% and 83%. Without knowing the scores for the remaining three tests, we can't determine the lowest test score. So, the answer for the lowest test score is not possible to conclude.
To find the highest test score, we also need more information. We know the scores for the first two tests, but we don't know the scores for the remaining three tests. Without that information, we can't determine the highest test score. So, the answer for the highest test score is not possible to conclude.
To find the mean of the last three tests, we need to calculate the average of the scores for the last three tests. Since we only have information about the first two test scores, we can't determine the mean of the last three tests. So, the answer for the mean of the last three tests is not possible to conclude.
To find the mean of the first three tests, we can use the information given. From the given data, we know that the mean of all five tests is 85%. If the mean of all five tests is 85%, and we know the scores for the first two tests (92% and 83%), we can calculate the mean of the first three tests by subtracting the sum of the scores for the last two tests from the mean of all five tests.
Mathematically, we can calculate the mean of the first three tests as follows:
Mean of the first three tests = Mean of all five tests - Sum of the scores for the last two tests
Mean of the first three tests = 85% - (92% + 83%)
Mean of the first three tests = 85% - 175%
Mean of the first three tests = -90%
Therefore, we can conclude that the mean of the first three tests is -90%.
In summary, based on the given information:
a. The lowest test score cannot be concluded.
b. The highest test score cannot be concluded.
c. The mean of the last three tests cannot be concluded.
d. The mean of the first three tests is -90%.